51983 has 4 divisors (see below), whose sum is σ = 52440. Its totient is φ = 51528.

The previous prime is 51977. The next prime is 51991. The reversal of 51983 is 38915.

It is a Cunningham number, because it is equal to 228²-1.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-51983 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51913) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 113 + ... + 341.

It is an arithmetic number, because the mean of its divisors is an integer number (13110).

2⁵¹⁹⁸³ is an apocalyptic number.

51983 is a deficient number, since it is larger than the sum of its proper divisors (457).

51983 is a wasteful number, since it uses less digits than its factorization.

51983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456.

The product of its digits is 1080, while the sum is 26.

The square root of 51983 is about 227.9978070070. The cubic root of 51983 is about 37.3210436447.

The spelling of 51983 in words is "fifty-one thousand, nine hundred eighty-three".